Short Communication

Mathematical Programming

, Volume 15, Issue 1, pp 228-231

First online:

The Held—Karp algorithm and degree-constrained minimum 1-trees

  • Y. YamamotoAffiliated withKeio University

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In this note we propose to find a degree-constrained minimum 1-tree in the Held—Karp algorithm [5, 6] for the symmetric traveling-salesman problem, and show that it is reduced to finding a minimum common basis of two matroids.

Key words

Traveling-Salesman Problem 1-tree Matroid